System Target Propagation to Model Order Reductionof a Beam Structure Using Genetic Algorithm

Yong-Min Jeong; Jun-Sik Kim

doi:10.7734/COSEIK.2022.35.3.175

All Issue

2022 Vol.35, Issue 3 Preview Page Next Page

Research Paper

System Target Propagation to Model Order Reductionof a Beam Structure Using Genetic Algorithm 유전자 알고리즘을 이용한 시스템 최적 부분구조화

30 June 2022. pp. 175-182

PDF XML

Abstract

In many engineering problems, the dynamic substructuring can be useful to analyze complex structures which made with many substructures, such as aircrafts and automotive vehicles. It was originally intended as a method to simplify the engineering problem. The powerful advantage to this is that computational efficiency dramatically increases with eliminating unnecessary degrees-of-freedom of the system and the system targets are concurrently satisfied. Craig-Bampton method has been widely used for the linear system reduction. Recently, multi-level optimization (such as target cascading), which propagates the system-level targets to the subsystem-level targets, has been widely utilized. To this concept, the genetic algorithm which one of the global optimization technique has been utilized to the substructure optimization. The number of internal modes for each substructure can be obtained by the genetic algorithm. Simultaneously, the reduced system meets the top-level targets. In this paper, various numerical examples are tested to verify this concept.

Keywords

dynamic substructuring

component mode synthesis

model order reduction

genetic algorithm

부분구조화 기법은 자유도가 많고 복잡한 구조물의 유한요소 해석 모델 단순화에 효율적으로 적용될 수 있는 기법이다. 대표적으로 선형 문제에 대해서는 Craig-Bampton method 등이 있다. Craig-Bampton method는 경계 요소를 제외한 나머지 요소의 불필요한 자유도를 제거함으로써 선형 구조물의 축소를 수행한다. 최근에는 부분구조화 기법과 더불어 구조물의 최적설계를 위해 멀티레벨 최적화 기법이 많이 활용되고 있다. 시스템의 목표를 달성하기 위해 각 부구조에 새로운 목표를 할당하는 기법이다. 본 연구에서는 유전자 알고리즘을 이용하여 시스템 목표 달성을 위한 각 부구조별 내부 자유도 개수를 새로운 목표로 할당하고 최적화를 수행하였다. 최적화 절차로부터 도출된 부구조별 내부 자유도 개수를 이용하여 시스템의 축소를 수행하였다. 다양한 수치예제들을 통해 축소 모델에 대한 결과를 확인하였으며, 90% 이상의 정확도를 가지는 것을 확인하였다.

키워드

부분구조화

Craig-Bampton 방법

모델 축소법

유전자 알고리즘

References

Allison, J., Kokkolaras, M., Zawislak, M., Papalambros, P.Y. (2005) On the Use of Analytical Target Cascading and Collaborative Optimization for Complex System Design, 6th World Congress on Structural and Multidisciplinary Optimization, Rio de Janeiro.

Craig Jr. R.R., Bampton, M.C.C. (1968) Coupling of Substructures for Dynamic Analysis, AIAA J., 6, pp.1313~1319. 10.2514/3.4741

Craig Jr. R.R., Chang, C.-J. (1976) Free Interface Methods of Substructure Coupling for Dynamic Analysis, AIAA J., 14, pp.1633~1635. 10.2514/3.7264

Hale, A.L., Meirovitch, L. (1980) A General Substructure Synthesis Method for the Dynamic Simulation of Complex Structures, J. Sound & Vibr., 69, pp.309~326. 10.1016/0022-460X(80)90615-X

Hale, A.L., Meirovitch, L. (1982) A Procedure for Improving Discrete Substructure Representation in Dynamic Synthesis, AIAA J., 20, pp.1128~1136. 10.2514/3.51173

Hurty, W.C. (1965) Dynamic Analysis of Structural Systems using Component Modes, AIAA J., 3, pp.678~685. 10.2514/3.2947

Kim, H.M., Michelena, N.F., Papalambros, P.Y., Jiang, T. (2000) Target Cascading in Optimal System Design, Proceedings of the 2000 ASME Design Engineering Technical Conferences, Baltimore. 10.1115/DETC2000/DAC-14265

Lee, J., Cho. M. (2017) An Interpolation-Based Parametric Reduced order Model Combined with Component Mode Synthesis, Comput. Methods Appl. Mech. & Eng., 319, pp.258~286. 10.1016/j.cma.2017.02.010

MacNeal, S. (1971) A Hybrid Method of Component Mode Synthesis, Comput. & Struct., 1, pp.581~601. 10.1016/0045-7949(71)90031-9

Przemieniecki, J.S. (1963) Matrix Structural Analysis of Substructures, AIAA J., 1, pp.138~147. 10.2514/3.1483

Rubin, S. (1975) Improved Component-Mode Representation for Structural Dynamic Analysis, AIAA J., 13(8), pp.995~1006. 10.2514/3.60497

Tosserams, S. (2004) Analytical Target Cascading: Convergence Improvement by Sub-Problem Post-Optimality Sensitivities, M.Sc. Thesis, Eindhoven University of Technology.

Information

Publisher :Computational Structural Engineering Institute of Korea
Publisher(Ko) :한국전산구조공학회
Journal Title :Journal of the Computational Structural Engineering Institute of Korea
Journal Title(Ko) :한국전산구조공학회 논문집
Volume : 35
No :3
Pages :175-182
Received Date : 2022-04-13
Revised Date : 2022-04-21
Accepted Date : 2022-04-21
DOI :https://doi.org/10.7734/COSEIK.2022.35.3.175

Journal of the Computational Structural Engineering Institute of Korea ISSN:1229-3059(Print) 2287-2302(Online) 한국전산구조공학회 논문집

All Issue